US5303088A - Retrofocus type lens - Google Patents
Retrofocus type lens Download PDFInfo
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- US5303088A US5303088A US07/961,826 US96182692A US5303088A US 5303088 A US5303088 A US 5303088A US 96182692 A US96182692 A US 96182692A US 5303088 A US5303088 A US 5303088A
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B9/00—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or -
- G02B9/04—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having two components only
- G02B9/10—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having two components only one + and one - component
Definitions
- This invention relates to retrofocus type lenses and, more particularly, to retrofocus type lenses of long back focal distance relative to the focal length of the entire lens system suited to be used in liquid crystal projectors or the like.
- the projector arrangement usually includes two dichroic mirrors for color composition in between the projection lens and the image to be projected. For this purpose, it is necessary to secure the back focal distance which is at least two times the focal length of the projection lens.
- An object of the invention is to provide a retrofocus type lens whose back focal distance is made longer than two times the focal length of the entire lens system, so that it is suited to be used as the projection lens for a liquid crystal projector, and which is well corrected for all aberrations, while still permitting the bulk and size to be minimized.
- a retrofocus type lens comprises, in order from a first conjugate side which is at a long distance (from a screen side), a first lens unit of negative refractive power, and a second lens unit of positive refractive power, with a longest air spacing left therebetween, wherein a lens member closest to the first conjugate side in the second lens unit is a positive meniscus lens convex toward the first conjugate side.
- FIG. 1 is a longitudinal section view of a numerical example 1 of a lens of the invention.
- FIG. 2 shows graphic representations of the aberrations of the lens of FIG. 1. (Screen Distance: 2.7 m)
- FIG. 3 is a longitudinal section view of a numerical example 2 of a lens of the invention.
- FIG. 4 shows graphic representations of the aberrations of the lens of FIG. 3. (Screen Distance: 2.7 m)
- FIG. 5 is a longitudinal section view of a numerical example 3 of a lens of the invention.
- FIG. 6 shows graphic representations of the aberrations of the lens of FIG. 5. (Screen Distance: 2.8 m)
- FIG. 7 is a longitudinal section view of a numerical example 4 of a lens of the invention.
- FIG. 8 shows graphic representations of the aberrations of the lens of FIG. 7. (Screen Distance: 2.9 m)
- FIG. 9 is a longitudinal section view of a numerical example 5 of a lens of the invention.
- FIG. 10 shows graphic representations of the aberrations of the lens of FIG. 9. (Screen Distance: 2.9 m)
- FIG. 11 is a longitudinal section view of a numerical example 6 of a lens of the invention.
- FIG. 12 shows graphic representations of the aberrations of the lens of FIG. 11. (Screen Distance: 2.9 m)
- FIG. 13 is a longitudinal section view of a numerical example 7 of a lens of the invention.
- FIG. 14 shows graphic representations of the aberrations of the lens of FIG. 13. (Screen Distance: 2.5 m)
- FIG. 1, FIG. 3, FIG. 5, FIG. 7, FIG. 9, FIG. 11 and FIG. 13 are lens block diagrams of the numerical examples 1, 2, 3, 4, 5, 6 and 7, respectively.
- a first lens unit I is arranged on the side of a first conjugate point S of long distance (at which a screen is actually placed, so this point is hereinafter called the "screen"), and has a negative refractive power.
- a second lens unit II is arranged after the first lens unit I at an interval of the longest air separation in the lens system and has a positive refractive power.
- SP stands for a flare stopper arranged in between the first and second lens units I and II.
- a display element D of the liquid crystal type or the like on which an original image is formed, is arranged on a conjugate point of short distance. With such an arrangement, the image formed on the display element D is projected by the lens system onto the screen S in an enlarged scale.
- the retrofocus type lens comprising, from the screen side, the first lens unit of negative refractive power and the second lens unit of positive refractive power with the longest air spacing left therebetween, in order to reduce the size while maintaining the constant position of the image plane, it may be considered to shorten the spacing between the first and second lens units. If so, the difference between the absolute values of the powers of the first and second lens units has to be increased. This leads to a tendency of over-correction of the image surface, influencing the optical performance. Particularly for correction of the curvature of field, it is preferred that the refractive index of positive lenses in the lens system be lowered, while the refractive index of negative lenses be heightened. Further, in the case of using a cemented lens, the radius of curvature of the cemented surface is made small to increase the difference between the absolute values of the powers of positive and negative elements of this cemented lens.
- the second lens unit is constructed from, in order from the screen side, a meniscus positive lens convex toward the screen side, a cemented lens composed of a negative lens and a positive lens, and a positive lens. Furthermore, glass materials of a lower refractive index are selected to be used in the positive lenses of the second lens unit, and ones of higher refractive index in the negative lenses. Thus, the refractive index difference is taken large enough. At the same time, the difference of the Abbe numbers of the positive and negative lenses is made to be small. Thus, the positive and negative lenses each get a large power, and the Petzval sum of the second lens group gets a large value. In such a manner, the image surface is prevented from being over corrected by the influence of the negative first lens unit.
- this meniscus positive lens it is desirable to put the shape factor (SF 2f ) of this meniscus positive lens in the following range:
- the inequalities of condition (1) are to determine the shape of the meniscus positive lens. If below the range of the inequalities, the spherical aberration and coma tend to be under-corrected. If above the range of the inequalities, the spherical aberration and coma tend to be over-corrected. In either case, the result is objectionable.
- r ha is the radius of curvature of the cemented surface of the cemented lens.
- n 2n and n 2p are respectively the mean value of the refractive indices of the negative lenses and the mean value of the refractive indices of the positive lenses in the second lens unit.
- ⁇ 2n and ⁇ 2p are respectively the mean values of the Abbe numbers of the negative lenses and the positive lenses in the second lens unit.
- the cemented lens is preferably formed as a positive lens having a convex surface facing the display element side.
- the inequalities of condition (2) are concerned with the ratio of the radius of curvature of the cemented surface of the positive cemented lens in the second lens unit to the radius of curvature of the surface facing the screen side of the meniscus positive lens of the second lens unit. If below the range of these inequalities, over-correction of spherical aberration and coma results. If above the range of the inequalities, under-correction of spherical aberration and coma results. In either case, the result is objectionable.
- the inequalities of conditions (3) and (4) give ranges for the refractive indices and Abbe numbers of the positive and negative lenses in the second lens unit. If below the range of the inequality of condition (3), over-correction of field curvature results. If below the range of the inequalities of condition (4), large chromatic aberrations are produced. If above the range of the inequalities of condition (4), over-correction of field curvature results. In any case, the result is objectionable.
- the first lens unit comprises, in order from the screen side, a negative meniscus lens convex toward the screen side, a bi-convex positive lens having a surface of small radius of curvature facing the screen side, and a negative meniscus lens convex toward the screen side.
- a negative meniscus lens convex toward the screen side As shown in numerical examples 5 and 6, it may otherwise be constructed from a positive lens arranged in the closest position to the screen side and two negative meniscus lenses.
- the inequalities of condition (5) are to determine the form of the bi-convex positive lens of the first lens unit. If below the range of the inequalities of the condition, an under-correction of the distortion results. If above the range of the inequalities of the condition, coma becomes difficult to correct. In either case, the results are objectionable.
- Ri is the radius of curvature of the i-th lens surface, when counted from the screen side
- Di is the i-th lens thickness or air separation, when counted from the screen side
- Ni and ⁇ i are respectively the refractive index and Abbe number of the glass of the i-th lens element, when counted from the screen side.
- the invention it is possible to provide a retrofocus type lens having a small number of lens elements in compact form, and having various aberrations corrected for good performance so that it is suited to be used as a lens for a liquid crystal projector that requires a long back focal distance. Also, be setting forth the proper features for the refractive indices and Abbe numbers and the forms of the lenses in the second lens unit, the Petzval sum of the second lens unit can be increased from the conventional one. Therefore, without using a glass of high refractive index which is expensive in the negative lenses of the first lens unit, it is possible for the retrofocus type lens to have little field curvature, a small size and a good performance. Also, if a high refractive index glass is used in the negative lenses of the first lens unit, it will become possible to increase the field of view by using a smaller number of lens elements than the is conventional.
Abstract
A retrofocus type lens includes, in order from the screen side, a first lens unit having a negative refractive power and a second lens unit having a positive refractive power with a longest air separation in the lens system left therebetween, wherein a lens positioned closest to the screen side in the second lens unit is formed to a meniscus positive lens convex toward the screen side.
Description
This invention relates to retrofocus type lenses and, more particularly, to retrofocus type lenses of long back focal distance relative to the focal length of the entire lens system suited to be used in liquid crystal projectors or the like.
Many wide-angle photographic lenses that have long back focal lengths compared with the focal length of the entire lens system, have been proposed in, for example, Japanese Patent Publication No. Sho 62-32768 and so on.
In the wide-angle lenses in the proposals mentioned above, because of their use in photographic purposes, the back focal distance is equal to at most 1.3 times the focal length of the entire lens system. By the way, in recent years, the use of liquid crystal projectors has been widespread and is expanding at ever increasing rates. To apply design principles of the wide-angle lenses to a projection lens, which is of the retrofocus type, requires a shortcoming to be met in that the back focal distance is not long enough.
The projector arrangement usually includes two dichroic mirrors for color composition in between the projection lens and the image to be projected. For this purpose, it is necessary to secure the back focal distance which is at least two times the focal length of the projection lens.
An object of the invention is to provide a retrofocus type lens whose back focal distance is made longer than two times the focal length of the entire lens system, so that it is suited to be used as the projection lens for a liquid crystal projector, and which is well corrected for all aberrations, while still permitting the bulk and size to be minimized.
In a preferred embodiment according to the invention, a retrofocus type lens comprises, in order from a first conjugate side which is at a long distance (from a screen side), a first lens unit of negative refractive power, and a second lens unit of positive refractive power, with a longest air spacing left therebetween, wherein a lens member closest to the first conjugate side in the second lens unit is a positive meniscus lens convex toward the first conjugate side. With the retrofocus type lens, it is thus made possible to realize the elongation of the back focal distance, a minimization of the bulk and size and improvements of the aberration correction.
FIG. 1 is a longitudinal section view of a numerical example 1 of a lens of the invention.
FIG. 2 shows graphic representations of the aberrations of the lens of FIG. 1. (Screen Distance: 2.7 m)
FIG. 3 is a longitudinal section view of a numerical example 2 of a lens of the invention.
FIG. 4 shows graphic representations of the aberrations of the lens of FIG. 3. (Screen Distance: 2.7 m)
FIG. 5 is a longitudinal section view of a numerical example 3 of a lens of the invention.
FIG. 6 shows graphic representations of the aberrations of the lens of FIG. 5. (Screen Distance: 2.8 m)
FIG. 7 is a longitudinal section view of a numerical example 4 of a lens of the invention.
FIG. 8 shows graphic representations of the aberrations of the lens of FIG. 7. (Screen Distance: 2.9 m)
FIG. 9 is a longitudinal section view of a numerical example 5 of a lens of the invention.
FIG. 10 shows graphic representations of the aberrations of the lens of FIG. 9. (Screen Distance: 2.9 m)
FIG. 11 is a longitudinal section view of a numerical example 6 of a lens of the invention.
FIG. 12 shows graphic representations of the aberrations of the lens of FIG. 11. (Screen Distance: 2.9 m)
FIG. 13 is a longitudinal section view of a numerical example 7 of a lens of the invention.
FIG. 14 shows graphic representations of the aberrations of the lens of FIG. 13. (Screen Distance: 2.5 m)
Retrofocus type lenses of the invention are next described by reference to the drawings.
FIG. 1, FIG. 3, FIG. 5, FIG. 7, FIG. 9, FIG. 11 and FIG. 13 are lens block diagrams of the numerical examples 1, 2, 3, 4, 5, 6 and 7, respectively. In these drawings, a first lens unit I is arranged on the side of a first conjugate point S of long distance (at which a screen is actually placed, so this point is hereinafter called the "screen"), and has a negative refractive power. A second lens unit II is arranged after the first lens unit I at an interval of the longest air separation in the lens system and has a positive refractive power. SP stands for a flare stopper arranged in between the first and second lens units I and II. A display element D, of the liquid crystal type or the like on which an original image is formed, is arranged on a conjugate point of short distance. With such an arrangement, the image formed on the display element D is projected by the lens system onto the screen S in an enlarged scale.
Now, in the retrofocus type lens comprising, from the screen side, the first lens unit of negative refractive power and the second lens unit of positive refractive power with the longest air spacing left therebetween, in order to reduce the size while maintaining the constant position of the image plane, it may be considered to shorten the spacing between the first and second lens units. If so, the difference between the absolute values of the powers of the first and second lens units has to be increased. This leads to a tendency of over-correction of the image surface, influencing the optical performance. Particularly for correction of the curvature of field, it is preferred that the refractive index of positive lenses in the lens system be lowered, while the refractive index of negative lenses be heightened. Further, in the case of using a cemented lens, the radius of curvature of the cemented surface is made small to increase the difference between the absolute values of the powers of positive and negative elements of this cemented lens.
In the embodiment of the invention, the second lens unit is constructed from, in order from the screen side, a meniscus positive lens convex toward the screen side, a cemented lens composed of a negative lens and a positive lens, and a positive lens. Furthermore, glass materials of a lower refractive index are selected to be used in the positive lenses of the second lens unit, and ones of higher refractive index in the negative lenses. Thus, the refractive index difference is taken large enough. At the same time, the difference of the Abbe numbers of the positive and negative lenses is made to be small. Thus, the positive and negative lenses each get a large power, and the Petzval sum of the second lens group gets a large value. In such a manner, the image surface is prevented from being over corrected by the influence of the negative first lens unit.
Meanwhile, with the use of a small radius of curvature in the cemented surface of the cemented lens as described before, this cemented surface now tends to over-correct spherical aberration and coma. To correct these aberrations the cemented surface has produced, the meniscus positive lens convex toward the screen side is positioned in the second lens unit at a closest position to the screen side. By this arrangement, the spherical aberration and coma are canceled. Thus, a good correction of image aberrations is realized.
In a preferred embodiment, it is desirable to put the shape factor (SF2f) of this meniscus positive lens in the following range:
-8<SF.sub.2f <-1 (1)
where, when the radii of curvature of the surfaces facing the screen side and the display element side are denoted by r2ff and r2fr, respectively,
SF.sub.2f =(r.sub.2ff +r.sub.2fr)/(r.sub.2ff -r.sub.2fr)
The inequalities of condition (1) are to determine the shape of the meniscus positive lens. If below the range of the inequalities, the spherical aberration and coma tend to be under-corrected. If above the range of the inequalities, the spherical aberration and coma tend to be over-corrected. In either case, the result is objectionable.
Further, it is desirable to satisfy one of the following conditions:
0.7<r.sub.ha /r.sub.2ff <2 (2)
where rha is the radius of curvature of the cemented surface of the cemented lens.
n.sub.2n -n.sub.2p >0.2 (3)
where n2n and n2p are respectively the mean value of the refractive indices of the negative lenses and the mean value of the refractive indices of the positive lenses in the second lens unit.
20<ν.sub.2p -ν.sub.2n <35 (4)
where ν2n and ν2p are respectively the mean values of the Abbe numbers of the negative lenses and the positive lenses in the second lens unit.
Furthermore, as to the specific form of the second lens unit, particularly the cemented lens is preferably formed as a positive lens having a convex surface facing the display element side.
Next, the significance of each of the conditions is explained.
The inequalities of condition (2) are concerned with the ratio of the radius of curvature of the cemented surface of the positive cemented lens in the second lens unit to the radius of curvature of the surface facing the screen side of the meniscus positive lens of the second lens unit. If below the range of these inequalities, over-correction of spherical aberration and coma results. If above the range of the inequalities, under-correction of spherical aberration and coma results. In either case, the result is objectionable.
The inequalities of conditions (3) and (4) give ranges for the refractive indices and Abbe numbers of the positive and negative lenses in the second lens unit. If below the range of the inequality of condition (3), over-correction of field curvature results. If below the range of the inequalities of condition (4), large chromatic aberrations are produced. If above the range of the inequalities of condition (4), over-correction of field curvature results. In any case, the result is objectionable.
The foregoing has been described with regard to the second lens unit. Next explanation is given to the first lens unit.
The first lens unit, as shown in numerical examples 1 to 4 and 7, comprises, in order from the screen side, a negative meniscus lens convex toward the screen side, a bi-convex positive lens having a surface of small radius of curvature facing the screen side, and a negative meniscus lens convex toward the screen side. As shown in numerical examples 5 and 6, it may otherwise be constructed from a positive lens arranged in the closest position to the screen side and two negative meniscus lenses.
When employing the former lens arrangement, letting the radii of curvature of the surfaces of the bi-convex lens facing the screen side and the display element side in the first lens unit be denoted by r1mf and r1mr, respectively, and putting
SF.sub.1m =(r.sub.1mf +r.sub.1mr)/(r.sub.1mf -r.sub.1mr)
it is desirable to satisfy the following condition:
-0.9<SF.sub.1m <-0.3 (5)
The inequalities of condition (5) are to determine the form of the bi-convex positive lens of the first lens unit. If below the range of the inequalities of the condition, an under-correction of the distortion results. If above the range of the inequalities of the condition, coma becomes difficult to correct. In either case, the results are objectionable.
Next, numerical examples of the invention are shown. In the numerical data for these examples, Ri is the radius of curvature of the i-th lens surface, when counted from the screen side, Di is the i-th lens thickness or air separation, when counted from the screen side, and Ni and νi are respectively the refractive index and Abbe number of the glass of the i-th lens element, when counted from the screen side.
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Numerical Example 1 (FIGS. 1 and 2):
Back Focal Distance:
F = 86.32
FNO = 1:4.2
2ω = 58.4°
181.17
______________________________________
R1 = 132.704
D1 = 4.00 N1 = 1.51633
ν1 = 64.2
R2 = 49.500 D2 = 22.47
R3 = 93.927 D3 = 7.95 N2 = 1.69895
ν2 = 30.1
R4 = -326.910
D4 = 0.20
R5 = 153.193
D5 = 2.60 N3 = 1.62299
ν3 = 58.2
R6 = 32.260 D6 = 33.00
R7 = (Stop) D7 = 24.56
R8 = 50.597 D8 = 5.00 N4 = 1.51633
ν4 = 64.2
R9 = 71.406 D9 = 13.65
R10 = -212.394
D10 = 2.30 N5 = 1.83400
ν5 = 37.2
R11 = 62.858
D11 = 10.40
N6 = 1.51633
ν6 = 64.2
R12 = -62.858
D12 = 0.20
R13 = 319.849
D13 = 7.20
N7 = 1.51633
ν7 = 64.2
R14 = -71.648
SF.sub.2f -5.863 . . . (1)
r.sub.ha /r.sub.2ff
1.242 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . . (4)
SF.sub.1m -0.554 . . . (5)
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Numerical Example 2 (FIGS. 3 and 4):
Back Focal Distance:
F = 86.86
FNO = 1:4.5
2ω = 58.6°
1585.14
______________________________________
R1 = 119.374
D1 = 4.00 N1 = 1.51633
ν1 = 64.2
R2 = 51.029 D2 = 22.13
R3 = 98.541 D3 = 8.27 N2 = 1.69895
ν2 = 30.1
R4 = -348.481
D4 = 2.00
R5 = 191.806
D5 = 2.70 N3 = 1.62299
ν3 = 58.2
R6 = 32.121 D6 = 33.00
R7 = (Stop) D7 = 25.04
R8 = 50.950 D8 = 5.00 N4 = 1.51633
ν4 = 64.2
R9 = 72.836 D9 = 13.54
R10 = -165.046
D10 = 2.30 N5 = 1.83400
ν5 = 37.2
R11 = 65.000
D11 = 10.59
N6 = 1.51633
ν6 = 64.2
R12 = -59.089
D12 = 0.20
R13 = 246.760
D13 = 7.31 N7 = 1.51633
ν7 = 64.2
R14 = -73.890
SF.sub.2f -5.656 . . . (1)
r.sub.ha /r.sub.2ff
1.276 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . . (4)
SF.sub.1m -0.559 . . . (5)
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Numerical Example 3 (FIGS. 5 and 6):
Back Focal Distance:
F = 87.78
FNO = 1:4.5
2ω = 58°
185.25
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R1 = 104.161
D1 = 3.50 N1 = 1.60311
ν1 = 60.7
R2 = 45.834 D2 = 5.86
R3 = 91.368
D3 = 6.90 N2 = 1.74077
ν2 = 27.8
R4 = -439.230
D4 = 0.20
R5 = 126.922
D5 = 2.50 N3 = 1.71300
ν3 = 53.8
R6 = 32.094 D6 = 42.04
R7 = (Stop) D7 = 12.64
R8 = 50.938 D8 = 7.00 N4 = 1.51633
ν4 = 64.2
R9 = 76.700 D9 = 13.84
R10 = -140.254
D10 = 2.50 N5 = 1.83400
ν5 = 37.2
R11 = 65.243
D11 = 11.37
N6 = 1.51633
ν6 = 64.2
R12 = -55.187
D12 = 0.20
R13 = 211.026
D13 = 8.47 N7 = 1.51633
ν7 = 64.2
R14 = -74.620
SF.sub.2f -4.955 . . . (1)
r.sub.ha /r.sub.2ff
1.281 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . . (4)
SF.sub.1m -0.656 . . . (5)
______________________________________
Numerical Example 4 (FIGS. 7 and 8):
Back Focal Distance:
F = 85.62
FNO = 1:4.5
2ω = 58.8°
181.44
______________________________________
R1 = 128.943
D1 = 4.00 N1 = 1.51633
ν1 = 64.2
R2 = 48.486 D2 = 25.31
R3 = 93.697 D3 = 7.04 N2 = 1.69895
ν2 = 30.1
R4 = -287.518
D4 = 0.20
R5 = 172.051
D5 = 2.60 N3 = 1.62299
ν3 = 58.2
R6 = 31.858 D6 = 33.00
R7 = (Stop) D7 = 23.10
R8 = 48.398 D8 = 5.00 N4 = 1.51633
ν4 = 64.2
R9 = 77.616 D9 = 13.29
R10 = -189.563
D10 = 2.30 N5 = 1.80610
ν 5 = 41.0
R11 = 56.755
D11 = 10.60
N6 = 1.48749
ν6 = 70.2
R12 = -56.755
D12 = 0.20
R13 = 256.353
D13 = 6.86 N7 = 1.48749
ν7 = 70.2
R14 = -73.672
SF.sub.2f -4.313 . . . (1)
r.sub.ha /r.sub.2ff
1.173 . . . (2)
n.sub.2n -n.sub.2p
0.309 . . . (3)
ν.sub.2p -ν.sub.2n
27.2 . . . (4)
SF.sub.1m -0.508 . . . (5)
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Numerical Example 5 (FIGS. 9 and 10):
Back Focal Distance:
F = 92.83
FNO = 1:4.5
2ω = 55.4°
183.93
______________________________________
R1 = 77.525 D1 = 6.67 N1 = 1.68893
ν1 = 31.1
R2 = 274.798
D2 = 0.20
R3 = 87.114 D3 = 3.00 N2 = 1.51633
ν2 = 64.2
R4 = 28.232 D4 = 17.64
R5 = 78.913 D5 = 2.50 N3 = 1.69680
ν3 = 55.5
R6 = 36.969 D6 = 31.22
R7 = 51.694 D7 = 7.00 N4 = 1.51742
ν4 = 52.4
(Stop)
R8 = 89.910
D8 = 21.21
R9 = -88.376
D9 = 2.00 N5 = 1.83400
ν5 = 37.2
R10 = 79.869
D10 = 11.64
N6 = 1.51633
ν6 = 64.2
R11 = -46.578
D11 = 0.20
R12 = 174.548
D12 = 9.92 N7 = 1.51633
ν7 = 64.2
R13 = -68.838
SF.sub.2f -3.705 . . . (1)
r.sub.ha /r.sub.2ff
1.545 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . . (4)
______________________________________
Numerical Example 6 (FIGS. 11 and 12):
Back Focal Distance:
F = 90.5 FNO = 1:4.5
2ω = 56.4°
185.19
______________________________________
R1 = 111.405
D1 = 5.87 N1 = 1.51633
ν1 = 64.2
R2 = 1634.497
D2 = 0.20
R3 = 77.010 D3 = 3.00 N2 = 1.60311
ν2 = 60.7
R4 = 28.269 D4 = 15.90
R5 = 113.065
D5 = 2.50 N3 = 1.60311
ν3 = 60.7
R6 = 22.583 D6 = 9.08 N4 = 1.64769
ν4 = 33.8
R7 = 40.680 D7 = 25.48
R8 = (Stop) D8 = 10.00
R9 = 55.656 D9 = 6.24 N5 = 1.51633
ν5 = 64.2
R10 = 244.093
D10 = 16.09
R11 = -137.776
D11 = 2.20 N6 = 1.83400
ν6 = 37.2
R12 = 60.626
D12 = 10.79
N7 = 1.51633
ν7 = 64.2
R13 = -49.064
D13 = 0.20
R14 = 286.700
D14 = 6.32 N8 = 1.51633
ν8 = 64.2
R15 = -86.375
SF.sub.2f -1.591 . . . (1)
r.sub.ha /r.sub.2ff
1.089 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . . (4)
______________________________________
Numerical Example 7 (FIGS. 13 and 14):
Back Focal Distance:
F = 78.93
FNO = 1:4.5
2ω = 63.2°
185.51
______________________________________
R1 = 110.660
D1 = 3.50 N1 = 1.71300
ν1 = 53.8
R2 = 48.636 D2 = 5.97
R3 = 82.367 D3 = 10.48 N2 = 1.51742
ν2 = 52.4
R4 = -189.661
D4 = 0.18
R5 = 140.095
D5 = 2.50 N3 = 1.77250
ν3 = 49.6
R6 = 23.552 D6 = 7.55 N4 = 1.80518
ν4 = 25.4
R7 = 31.533 D7 = 41.81
R8 = (Stop) D8 = 18.23
R9 = 51.710 D9 = 7.00 N5 = 1.51633
ν5 = 64.2
R10 = 88.486
D10 = 11.85
R11 = -239.017
D11 = 2.50 N6 = 1.83400
ν6 = 37.2
R12 = 56.551
D12 = 12.29
N7 = 1.51633
ν7 = 64.2
R13 = -59.084
D13 = 0.20
R14 = 198.283
D14 = 7.96 N8 = 1.51633
ν8 = 64.2
R15 = -88.221
SF.sub.2f -3.812 . . . (1)
r.sub.ha /r.sub.2ff
1.094 . . . (2)
n.sub.2n -n.sub.2p
0.31767 . . . (3)
ν.sub.2p -ν.sub.2n
27 . . .(4)
______________________________________
As has been described above, according to the invention, it is possible to provide a retrofocus type lens having a small number of lens elements in compact form, and having various aberrations corrected for good performance so that it is suited to be used as a lens for a liquid crystal projector that requires a long back focal distance. Also, be setting forth the proper features for the refractive indices and Abbe numbers and the forms of the lenses in the second lens unit, the Petzval sum of the second lens unit can be increased from the conventional one. Therefore, without using a glass of high refractive index which is expensive in the negative lenses of the first lens unit, it is possible for the retrofocus type lens to have little field curvature, a small size and a good performance. Also, if a high refractive index glass is used in the negative lenses of the first lens unit, it will become possible to increase the field of view by using a smaller number of lens elements than the is conventional.
Claims (25)
1. A retrofocus type lens comprising, from a first conjugate side of long distance to a second conjugate side of short distance, a first lens unit having a negative refractive power and a second lens unit comprising positive and negative lenses, said second lens unit having an overall positive refractive power with a longest air separation in the lens system left between said first lens unit and said second lens unit, wherein a lens positioned closest to the first conjugate side in said second lens unit is constructed from a meniscus positive lens convex toward the first conjugate side, and wherein said retrofocus type lens satisfies the following condition:
n.sub.2n -n.sub.2p >0.2
where n2p and n2n are respectively mean values of refractive indices of said positive and negative lenses in said second lens unit.
2. A retrofocus type lens according to claim 1, satisfying the following condition:
-8<SF.sub.2f <-1
where SF2f =(r2ff +r2fr)/(r2ff -r2fr) wherein r2ff and r2fr are the radii of curvature of lens surfaces facing the first conjugate side and the second conjugate side of said meniscus positive lens, respectively.
3. A retrofocus type lens according to claim 1, wherein said second lens unit comprises a cemented lens having a negative lens and a positive lens on the second conjugate side of said meniscus positive lens, and satisfying the following conditions:
0.7<r.sub.ha /r.sub.2ff <2
where rha and r2ff are radii of curvature of a cemented surface of said cemented lens and of a first conjugate side of said meniscus positive lens, respectively.
4. A retrofocus type lens according to claim 1, satisfying the following condition:
20<ν.sub.2p -ν.sub.2n <35
where ν2p and ν2n are respectively mean values of Abbe numbers of the positive and negative lenses in said second lens unit.
5. A retrofocus type lens according to claim 1, wherein said second lens unit comprises, in order from the first conjugate side, said meniscus positive lens, a cemented lens having a convex surface facing the second conjugate side and composed of a negative lens and a positive lens, and a bi-convex lens.
6. A retrofocus type lens according to claim 1, wherein said first lens unit comprises, in order from the first conjugate side, a negative meniscus lens convex toward the first conjugate side, a bi-convex positive lens having a lens surface of small radius of curvature facing the first conjugate side, and a negative meniscus lens convex toward the first conjugate side.
7. A retrofocus type lens according to claim 6, satisfying the following condition:
-0.9<SF.sub.1m <-0.3
where SF1m =(r1mf +r1mr)/(r1mf -r1mr) wherein r1mf and r1mr are the radii of curvature of lens surfaces facing the first conjugate side and the second conjugate side of said bi-convex positive lens in said first lens unit, respectively.
8. A retrofocus type lens comprising, from a first conjugate side of long distance to a second conjugate side of short distance, a first lens unit having a negative refractive power and a second lens unit comprising positive and negative lenses, said second lens unit having an overall positive refractive power with a longest air separation in the lens system left between said first lens unit and said second lens unit, wherein a lens positioned closest to the first conjugate side in said second lens unit is constructed from a meniscus positive lens convex toward the first conjugate side, and wherein said retrofocus type lens satisfies the following condition:
20<ν.sub.2p -ν.sub.2n <35
where ν2p and ν2n are respectively mean values of Abbe numbers of said positive and negative lenses in said second lens unit.
9. A retrofocus type lens according to claim 8, satisfying the following condition:
-8<SF.sub.2f <-1
where SF2f =(r2ff +r2fr)/(r2ff -r2fr) wherein r2ff and r2fr are radii of curvature of lens surfaces facing the first conjugate side and the second conjugate side of said meniscus positive lens, respectively.
10. A retrofocus type lens according to claim 8, wherein said second lens unit comprises a cemented lens having a negative lens and a positive lens on the second conjugate side of said meniscus positive lens, and satisfying the following condition:
0.7<r.sub.ha /r.sub.2ff <2
where rha and r2ff are radii of curvature of a cemented surface of said cemented lens and of a first conjugate side of said meniscus positive lens, respectively.
11. A retrofocus type lens according to claim 8, satisfying the following condition:
n.sub.2n -n.sub.2p >0.2
where n2p and n2n are respectively mean values of refractive indices of said positive and negative lenses in said second lens unit.
12. A retrofocus type lens according to claim 8, wherein said second lens unit comprises, in order from the first conjugate side, said meniscus positive lens, a cemented lens having a convex surface facing the second conjugate side and composed of a negative lens and a positive lens, and a bi-convex lens.
13. A retrofocus type lens according to claim 8, wherein said first lens unit comprises, in order from the first conjugate side, a negative meniscus lens convex toward the first conjugate side, a bi-convex positive lens having a lens surface of small radius of curvature facing the first conjugate side, and a negative meniscus lens convex toward the first conjugate side.
14. A retrofocus type lens comprising, from a first conjugate side of long distance to a second conjugate side of short distance, a first lens unit having a negative refractive power and a second lens unit having a positive refractive power with a longest air separation in the lens system left therebetween, wherein a lens positioned closest to the first conjugate side in said second lens unit is constructed from a meniscus positive lens convex toward the first conjugate side, and wherein said second lens unit comprises, in order from the first conjugate side, said meniscus positive lens, a cemented lens having a convex surface facing the second conjugate side and composed of a negative lens and a positive lens, and a bi-convex lens.
15. A retrofocus type lens according to claim 14, satisfying the following condition:
-8<SF.sub.2f <-1
where SF2f =(r2ff +r2fr)/(r2ff -r2fr) wherein r2ff and r2fr are radii of curvature of lens surfaces facing the first conjugate side and the second conjugate side of said meniscus positive lens, respectively.
16. A retrofocus type lens according to claim 14, wherein said second lens unit comprises a cemented lens having a negative lens and a positive lens on the second conjugate side of said meniscus positive lens, and satisfying the following condition:
0.7<r.sub.ha /r.sub.2ff <2
where rha and r2ff are radii of curvature of a cemented surface of said cemented lens and of a first conjugate side of said meniscus positive lens, respectively.
17. A retrofocus type lens according to claim 14, satisfying the following condition:
n.sub.2n -n.sub.2p >0.2
where n2p and n2n are respectively mean values of refractive indices of said positive and negative lenses in said second lens unit.
18. A retrofocus type lens according to claim 14, satisfying the following condition:
20<ν.sub.2p -ν.sub.2n <35
where ν2p and ν2n are respectively mean values of Abbe numbers of said positive and negative lenses in said second lens unit.
19. A retrofocus type lens according to claim 14, wherein said first lens unit comprises, in order from the first conjugate side, a negative meniscus lens convex toward the first conjugate side, a bi-convex positive lens having a lens surface of small radius of curvature facing the first conjugate side, and a negative meniscus lens convex toward the first conjugate side.
20. A retrofocus type lens comprising, from a first conjugate side of long distance to a second conjugate side of short distance, a first lens unit having a negative refractive power and a second lens unit having a positive refractive power with a longest air separation in the lens system left therebetween, wherein a lens positioned closest to the first conjugate side in said second lens unit is constructed from a meniscus positive lens convex toward the first conjugate side, and wherein said first lens unit comprises, in order from the first conjugate side, a negative meniscus lens convex toward the first conjugate side, a bi-convex positive lens having a lens surface of small radius of curvature facing the first conjugate side, and a negative meniscus lens convex toward the first conjugate side.
21. A retrofocus type lens according to claim 20, satisfying the following condition:
-8<SF.sub.2f <-1
where SF2f =(r2ff +r2fr)/(r2ff -r2fr) wherein r2ff and r2fr are radii of curvature of lens surfaces facing the first conjugate side and the second conjugate side of said meniscus positive lens, respectively.
22. A retrofocus type lens according to claim 20, wherein said second lens unit comprises a cemented lens having a negative lens and a positive lens on the second conjugate side of said meniscus positive lens, and satisfying the following condition:
0.7<r.sub.ha /r.sub.2ff <2
where rha and r2ff are radii of curvature of a cemented surface of said cemented lens and of a first conjugate side of said meniscus positive lens, respectively.
23. A retrofocus type lens according to claim 20, wherein said second lens unit comprises positive and negative lenses, said retrofocus type lens satisfying the following condition:
n.sub.2n -n.sub.2p >0.2
where n2p and n2n are respectively mean values of refractive indices of the positive and negative lenses in said second lens unit.
24. A retrofocus type lens according to claim 20, wherein said second lens unit comprises positive and negative lenses, said retrofocus type lens satisfying the following condition:
20<ν.sub.2p -ν.sub.2n <35
where ν2p and ν2n are respectively mean values of Abbe numbers of the positive and negative lenses in said second lens unit.
25. A retrofocus type lens according to claim 20, wherein said second lens unit comprises, in order from the first conjugate side, said meniscus positive lens, a cemented lens having a convex surface facing the second conjugate side and composed of a negative lens and a positive lens, and a bi-convex lens.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP3275409A JP3021127B2 (en) | 1991-10-23 | 1991-10-23 | Retro focus lens |
| JP3-275409 | 1991-10-23 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| US5303088A true US5303088A (en) | 1994-04-12 |
Family
ID=17555099
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| US07/961,826 Expired - Lifetime US5303088A (en) | 1991-10-23 | 1992-10-16 | Retrofocus type lens |
Country Status (2)
| Country | Link |
|---|---|
| US (1) | US5303088A (en) |
| JP (1) | JP3021127B2 (en) |
Cited By (14)
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| EP0809407A1 (en) * | 1996-05-24 | 1997-11-26 | Corning Incorporated | Projection lenses having large back focal length to focal length ratios |
| US5781349A (en) * | 1994-08-05 | 1998-07-14 | Canon Kabushiki Kaisha | Zoom lens |
| US5920433A (en) * | 1996-07-31 | 1999-07-06 | Canon Kabushiki Kaisha | Large relative aperture telecentric lens |
| US5969875A (en) * | 1996-11-08 | 1999-10-19 | Canon Kabushiki Kaisha | Projecting optical system |
| US6231193B1 (en) | 1997-02-27 | 2001-05-15 | Canon Kabushiki Kaisha | Light source device, illuminating system and image projecting apparatus |
| US20010004298A1 (en) * | 1999-12-10 | 2001-06-21 | Shuichi Kobayashi | Optical system for photographing stereoscopic image, and stereoscopic image photographing apparatus having the optical system |
| US6285509B1 (en) | 1997-12-25 | 2001-09-04 | Canon Kabushiki Kaisha | Zoom lens and display apparatus having the same |
| US6363225B1 (en) | 1999-07-30 | 2002-03-26 | Canon Kabushiki Kaisha | Optical system for shooting a three-dimensional image and three-dimensional image shooting apparatus using the optical system |
| US6476983B2 (en) | 1999-12-07 | 2002-11-05 | Canon Kabushiki Kaisha | Eyepiece lens, objective lens, and optical apparatus having them |
| US6686988B1 (en) | 1999-10-28 | 2004-02-03 | Canon Kabushiki Kaisha | Optical system, and stereoscopic image photographing apparatus having the same |
| US6751020B2 (en) | 2000-02-02 | 2004-06-15 | Canon Kabushiki Kaisha | Stereoscopic image pickup system |
| US20050138806A1 (en) * | 2003-12-24 | 2005-06-30 | Schilling Jan C. | Methods and apparatus for optimizing turbine engine shell radial clearances |
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| US5134524A (en) * | 1989-06-09 | 1992-07-28 | Canon Kabushiki Kaisha | Rear focus type zoom lens |
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| US2927506A (en) * | 1956-09-12 | 1960-03-08 | Voigtlaender Ag | Photographic objective |
| US3099701A (en) * | 1959-08-12 | 1963-07-30 | Rank Precision Ind Ltd | Optical objectives |
| JPS6232764A (en) * | 1985-08-06 | 1987-02-12 | Ricoh Co Ltd | Image reader |
| US5134524A (en) * | 1989-06-09 | 1992-07-28 | Canon Kabushiki Kaisha | Rear focus type zoom lens |
Cited By (19)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5781349A (en) * | 1994-08-05 | 1998-07-14 | Canon Kabushiki Kaisha | Zoom lens |
| EP0809407A1 (en) * | 1996-05-24 | 1997-11-26 | Corning Incorporated | Projection lenses having large back focal length to focal length ratios |
| US5870228A (en) * | 1996-05-24 | 1999-02-09 | U.S. Precision Lens Inc. | Projection lenses having larger back focal length to focal length ratios |
| US5969876A (en) * | 1996-05-24 | 1999-10-19 | U.S. Precision Lens Inc. | Projection lenses having large back focal length to focal length ratios |
| US5920433A (en) * | 1996-07-31 | 1999-07-06 | Canon Kabushiki Kaisha | Large relative aperture telecentric lens |
| US5969875A (en) * | 1996-11-08 | 1999-10-19 | Canon Kabushiki Kaisha | Projecting optical system |
| US6231193B1 (en) | 1997-02-27 | 2001-05-15 | Canon Kabushiki Kaisha | Light source device, illuminating system and image projecting apparatus |
| US6285509B1 (en) | 1997-12-25 | 2001-09-04 | Canon Kabushiki Kaisha | Zoom lens and display apparatus having the same |
| US6363225B1 (en) | 1999-07-30 | 2002-03-26 | Canon Kabushiki Kaisha | Optical system for shooting a three-dimensional image and three-dimensional image shooting apparatus using the optical system |
| US6686988B1 (en) | 1999-10-28 | 2004-02-03 | Canon Kabushiki Kaisha | Optical system, and stereoscopic image photographing apparatus having the same |
| US6476983B2 (en) | 1999-12-07 | 2002-11-05 | Canon Kabushiki Kaisha | Eyepiece lens, objective lens, and optical apparatus having them |
| US6735018B2 (en) | 1999-12-07 | 2004-05-11 | Canon Kabushiki Kaisha | Eyepiece lens, objective lens, and optical apparatus having them |
| US20010004298A1 (en) * | 1999-12-10 | 2001-06-21 | Shuichi Kobayashi | Optical system for photographing stereoscopic image, and stereoscopic image photographing apparatus having the optical system |
| US6922285B2 (en) | 1999-12-10 | 2005-07-26 | Canon Kabushiki Kaisha | Optical system for photographing stereoscopic image, and stereoscopic image photographing apparatus having the optical system |
| US6751020B2 (en) | 2000-02-02 | 2004-06-15 | Canon Kabushiki Kaisha | Stereoscopic image pickup system |
| US20050138806A1 (en) * | 2003-12-24 | 2005-06-30 | Schilling Jan C. | Methods and apparatus for optimizing turbine engine shell radial clearances |
| CN109696738A (en) * | 2017-10-24 | 2019-04-30 | 广州长步道光电科技有限公司 | A kind of low distorted optical industrial lens of focal length 16mm low cost high-resolution |
| CN109696738B (en) * | 2017-10-24 | 2021-01-29 | 广州长步道光电科技有限公司 | 16 mm-focal-length low-cost high-resolution low-distortion optical industrial lens |
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Also Published As
| Publication number | Publication date |
|---|---|
| JP3021127B2 (en) | 2000-03-15 |
| JPH05113534A (en) | 1993-05-07 |
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